Decimal to Fraction Converter

Understanding Decimal to Fraction Conversion

What are Decimals and Fractions?

Decimals are a way of expressing numbers that aren't whole numbers, using a decimal point. Fractions, on the other hand, represent parts of a whole using two numbers: a numerator and a denominator.

Formula and Representation

The basic formula for converting a decimal to a fraction is:

\[f = \frac{d \times 10^n}{10^n}\]

Where:

• \(f\) is the resulting fraction
• \(d\) is the decimal number
• \(n\) is the number of decimal places

Converting Decimals to Fractions

The process of converting decimals to fractions involves these steps:

1. Multiply the decimal by a power of 10 to remove the decimal point
2. Use this number as the numerator
3. Use the power of 10 as the denominator
4. Simplify the fraction if possible

Calculation Steps

Let's convert the decimal 0.75 to a fraction:

1. 0.75 × 100 = 75 (numerator)
2. 100 (denominator)
3. Fraction: 75/100
4. Simplify: 3/4

Example and Visual Representation

This diagram illustrates the conversion of the decimal 0.75 to its fractional form 3/4, showing both the decimal and fractional representations.